Okounkov bodies and Seshadri constants

Abstract

Okounkov bodies, which are closed convex sets defined for big line bundles, have rich information on the line bundles. On the other hand, Seshadri constants are invariants which measure the positivity of line bundles. In this paper, we prove that Okounkov bodies give lower bounds of Seshadri constants.

19 pages

References in corpus (2)

• An invitation to toric degenerations
• Seshadri constants via toric degenerations

Cited by in corpus (1)

• Canonical growth conditions associated to ample line bundles